a corresponding solution

USAGE SUMMARY

The phrase "a corresponding solution" is correct and usable in written English.
It can be used when referring to a solution that matches or relates to a specific problem or situation. Example: "After analyzing the data, we were able to identify a corresponding solution that addressed the issues we encountered."

✓ Grammatically correct

Science

Human-verified examples from authoritative sources

Exact Expressions

10 human-written examples

Assume that and is a corresponding solution of problem (2.13), (1.10).

Boundary Value Problems

Nevertheless, in bounded domains such estimates give rise to the Fredholm property of a corresponding solution operator.

Boundary Value Problems

Tracing the proof carefully, we have x ( t ) − K = y ( t ) = e − λ t z ( t ), where x is a fixed solution of equation (5), y ( t ) is a corresponding solution of equation (8) and z ( t ) is a corresponding solution of equation (11).

Advances in Difference Equations

Importantly, we note that if the data rates are feasible in the r th relay's access link (to its users), there exists a corresponding solution Δ r > 0 for which it is also feasible in the end-to-end link.

EURASIP Journal on Wireless Communications and Networking

In this case, impulses imply only choosing the trajectory between the points of impulses, but we stay on the trajectory of a corresponding solution of the non-impulsive equation between (t_{i}) and (t_{i+1}).

Advances in Difference Equations

Prior to any drilling in this area, Siegel et al. (1957) analyzed this gravity profile based on a 2D trial and error modeling method and reported a corresponding solution of z=6 m, L=186 m, and t=31 m.

Earth, Planets and Space

Human-verified similar examples from authoritative sources

Similar Expressions

49 human-written examples

Substituting these values of A 0, A 1 and the corresponding solution of ODE (13) into (14), we obtain three types of traveling wave solutions of equation (7).

Advances in Difference Equations

The results indicate that the dynamic intensities of a propagating crack can be represented by the product of a universal function and the corresponding solution for a stationary crack.

International Journal of Solids and Structures

In CBR terminology, a case usually denotes a pair: a problem situation and its corresponding solution.

BMC Medical Informatics and Decision Making

Remark 5.9 Comparing the continuous scenario and the discrete scenario, we see that a continuous solution of (60) and a corresponding discrete solution of (91) may lead to the same momenta.

Advances in Difference Equations

We say that a solution x of (1) is of type (a) (type (b)) if the corresponding solution ( x, y, z, w ) of system (S) is of type (a) (type (b)).

Advances in Difference Equations

Expert writing Tips

Best practice

When using "a corresponding solution", ensure it is clear to what problem or situation the solution corresponds. Explicitly state the relationship to avoid ambiguity.

Common error

Avoid using "a corresponding solution" without clearly identifying what it corresponds to. Ensure there's a clear link to the problem or context being addressed.

Linguistic Context

The phrase "a corresponding solution" functions as a noun phrase where "corresponding" modifies "solution", indicating a solution that is related or suited to a particular problem or context. Ludwig AI confirms its correct usage, evidenced by real-world examples from various sources.

Expression frequency: Uncommon

Frequent in

Science

95%

Formal & Business

3%

News & Media

2%

Less common in

Encyclopedias

0%

Wiki

0%

Reference

0%

Ludwig's WRAP-UP

In summary, "a corresponding solution" is a grammatically correct and functional phrase used to describe a solution that is appropriately related to a particular problem or situation. As Ludwig AI indicates, this phrase appears mostly in scientific and formal contexts, implying a direct relationship or match between the problem and its resolution. When using this phrase, it's important to ensure clarity by explicitly stating what the solution corresponds to. While not as common as other phrases, it serves a valuable function in contexts requiring precision and relevance, such as academic papers or technical reports. Alternatives include "a matching solution" or "a relevant solution", which offer similar meanings with slightly different nuances.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

a matching solution

This alternative emphasizes the similarity or equivalence between the problem and the solution.

a relevant solution

This alternative highlights the pertinence and applicability of the solution to the specific problem.

an appropriate solution

This option suggests that the solution is well-suited and fitting for the situation.

a suitable solution

This alternative indicates that the solution is adequate and fulfills the requirements.

a fitting solution

This emphasizes how well the solution addresses the problem at hand.

a parallel solution

This suggests that the solution mirrors or runs alongside the problem in some way.

a connected solution

Highlights the relationship or link between the problem and its solution.

a related solution

This simply states that the solution is in some way associated with the problem.

a linked solution

Similar to "a connected solution", this emphasizes the link or association between the solution and the problem.

an analogous solution

This suggests the solution is similar or comparable to another, perhaps in a different context.

FAQs

What does "a corresponding solution" mean?

The phrase "a corresponding solution" refers to a solution that is related or appropriate to a specific problem, situation, or condition. It implies a direct relationship or match between the problem and its resolution.

How can I use "a corresponding solution" in a sentence?

You can use "a corresponding solution" to describe a resolution that directly addresses a problem. For example: "After analyzing the data, we identified "a corresponding solution" that reduced energy consumption."

What are some alternatives to "a corresponding solution"?

You can use alternatives such as "a matching solution", "a relevant solution", or "an appropriate solution" depending on the specific context and nuance you want to convey.

Is it redundant to say "the corresponding solution"?

While not strictly redundant, using "the" instead of "a" implies a single, specific solution is already known or has been previously mentioned. "A corresponding solution" introduces a solution that aligns with a given problem but might not be the only one.